From three identical springs (each having force constant k) using all at the same time the following four combinations are possible fig Calculate the equivalent force constant in each case

Answer

`(a) k//3`
`(b) 2k//3`
`(c) 3k//2`
(d)` 3k`

Explanation

(a) `1/k_(eq)=1/k+1/k+1/k`
`1/k_(eq)=3/k`
`k_(eq)=k/3`
(b)`1/k_(eq)=1/(2k)+1/k`
(c) `k_(eq)=k/2+k`
(d) `k_(eq)=k+k+k=3k`